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物理学报  2001 

EXPLICIT EXACT SOLUTIONS TO NONLINEARCOUPLED DIFFERENTIAL EQUATIONS
非线性耦合微分方程组的精确解析解

Keywords: coupled nonlinear differential equations,Riccati equations,symbolic computation,solitary wave
非线性耦合方程组
,Riccati方程组,符号计算,孤波

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Abstract:

A method for constructing explicit exact solutions of coupled ordinary nonlinear differential equations by using the special solutions of Riccati equations is proposed.Two coupled nonlinear differentiall equations are studied using this method,and several new solutions (either functional or parametrical) are explicitly obtained,in addition to rederiving all known solutions in a systematic way.

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